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537742200735348 = 223722177342002827
BaseRepresentation
bin111101001000100101101110…
…0110110110000011001110100
32121111222122121112212020212220
41322101023130312300121310
51030440332011342012343
65143403205012042340
7221160410013102600
oct17221133466603164
92544878545766786
10537742200735348
1114638320644a944
125038a05b0033b0
131a108b44878cbb
1496b0c0b900500
154227d96c7a183
hex1e912dcdb0674

537742200735348 has 72 divisors (see below), whose sum is σ = 1459653044687712. Its totient is φ = 153633568648896.

The previous prime is 537742200735343. The next prime is 537742200735391. The reversal of 537742200735348 is 843537002247735.

It is a super-2 number, since 2×5377422007353482 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 537742200735291 and 537742200735300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537742200735343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8198890 + ... + 33803937.

It is an arithmetic number, because the mean of its divisors is an integer number (20272958953996).

Almost surely, 2537742200735348 is an apocalyptic number.

It is an amenable number.

537742200735348 is an abundant number, since it is smaller than the sum of its proper divisors (921910843952364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

537742200735348 is a wasteful number, since it uses less digits than its factorization.

537742200735348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42024621 (or 42024612 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 60.

The spelling of 537742200735348 in words is "five hundred thirty-seven trillion, seven hundred forty-two billion, two hundred million, seven hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 21773 43546 65319 87092 130638 152411 261276 304822 457233 609644 914466 1066877 1828932 2133754 3200631 4267508 6401262 12802524 42002827 84005654 126008481 168011308 252016962 294019789 504033924 588039578 882059367 1176079156 1764118734 2058138523 3528237468 4116277046 6174415569 8232554092 12348831138 24697662276 914527552271 1829055104542 2743582656813 3658110209084 5487165313626 6401692865897 10974330627252 12803385731794 19205078597691 25606771463588 38410157195382 44811850061279 76820314390764 89623700122558 134435550183837 179247400245116 268871100367674 537742200735348